Artículo
A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications
Autor/es | Carmona Tapia, José
Martínez Aparicio, Pedro Jesús Suárez Fernández, Antonio |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2016-02 |
Fecha de depósito | 2016-10-21 |
Publicado en |
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Resumen | In this paper we give a sub-supersolution method for nonlinear elliptic singular systems with quadratic gradient whose model system is the following where Ω is a smooth bounded domain of RN (N≥3), β,μ≥0, 0<α,γ<1 and regular ... In this paper we give a sub-supersolution method for nonlinear elliptic singular systems with quadratic gradient whose model system is the following where Ω is a smooth bounded domain of RN (N≥3), β,μ≥0, 0<α,γ<1 and regular f1,f2 functions. Moreover, we apply it to prove existence of solution for some systems, including the classical Lotka-Volterra models with gradient terms. Specifically, we study the competition and the symbiotic Lotka-Volterra systems. |
Agencias financiadoras | Ministerio de Ciencia e Innovación (MICIN). España Junta de Andalucía |
Identificador del proyecto | MTM2012-31799
MTM2012-31304 FQM-116 FQM-194 FQM-131 |
Cita | Carmona Tapia, J., Martínez Aparicio, P.J. y Suárez Fernández, A. (2016). A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications. Nonlinear Analysis: Theory, Methods and Applications, 132, 47-65. |
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